Question

Distance between x and 8 is less than 14 write as an inequality

Answer 1

- 6 < x < 22

Explanation:

|x-8| < 14

Then x-8 < 14 and x-8 > -14.

If we consider the first one:

x-8 < 14

x < 22

Then the next one,

x-8 >-14

x > -6

You know have an upper and a lower limit for x: it must be larger than -6, and smaller than 22. So -6 < x < 22